Let x = the minutes that Tom has remaining before exceeding 500 minutes.
Because he has already used 230 minutes, the total minutes he has is
x + 230
We want this total to be less than or equal to 500 minutes.
Therefore
x + 230 ≤ 500
Answer: x + 230 ≤ 500
Area of rectangle = 9x8=72ft^2
Base of triangle= 13-9=4ft
Area of triangle =4x8 =32ft^2
72+32=104ft^2
So your answer is 104ft^2
Hope this helps
Cos x = 1/√10
sin x = √( 1 - 1 /10 ) = √9/10 = - 3/√10 ( because x is in Q IV )
cot 2 x = cos 2 x/sin 2x = ( cos²x - sin²x)/ (2 sinx cosx ) =
= ( 1/10 - 3/10 )/(2 * (-3/√10)*1/√10)= (- 8/10 ) / (-6/10 ) = 8/6 = 4/3
